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(a) In an arithmetic progression (AP) the sum of the 5th term and term is 64, and the sum of the 2nd term and 6th term is 34. Fi the first term and common difference. (b) For a geometric progression (GP) whose first term is 10 and ratio is 05 find the sum of the first 12 terms and th

(a) In an arithmetic progression (AP) the sum of the 5th term and term is 64, and the sum of the 2nd term and 6th term is 34. Fi the first term and common difference. (b) For a geometric progression (GP) whose first term is 10 and ratio is 05 find the sum of the first 12 terms and th

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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5. (a) In an arithmetic progression (AP) the sum of the 5th term and 9th term is 64, and the sum of the 2nd term and 6th term is 34. Find the first term and common difference. (b) For a geometric progression (GP) whose first term is 10 and common ratio is 0.5, find the sum of the first 12 terms and the sum to infinity (expressing your answer correct to 4 decimal places).
Transcribed Image Text:5. (a) In an arithmetic progression (AP) the sum of the 5th term and 9th term is 64, and the sum of the 2nd term and 6th term is 34. Find the first term and common difference. (b) For a geometric progression (GP) whose first term is 10 and common ratio is 0.5, find the sum of the first 12 terms and the sum to infinity (expressing your answer correct to 4 decimal places).
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